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Finding the Fourth Proportional to 211,201.42, 291,455.53 and 114,403.43

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Solution

The fourth proportional to 211,201.42, 291,455.53 and 114,403.43 is: 157,875.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,201.42 : 291,455.53 = 114,403.43 : x
  2. Step 2: Convert to fraction form
    211,201.42/291,455.53 = 114,403.43/x
  3. Step 3: Cross multiply
    211,201.42x = 291,455.53 × 114,403.43
  4. Step 4: Simplify right side
    211,201.42x = 33,343,510,581.18
  5. Step 5: Solve for x
    x = 33,343,510,581.18/211,201.42
  6. Step 6: Final answer
    x = 157,875.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.